Hi @apgenius
The cooling fan is part of the heat sink assembly.
Here's the https://dl.dell.com/topicspdf/latitude-e5570-laptop_owners-manual_en-us.pdf|owner manual] for the laptop.
Go to the bottom of p.31 to view the procedure to remove the heat sink assembly.
Once it is out you can check if the fan is OK and replace it if necessary.
If it needs replacing, search online for 07HJFG to find fan suppliers that suit you best